Abstract

The Born cross sections for the charge transfer processes involving highlyexcited hydrogen atoms are expressed in closed forms for ,v-.sx and s-p transfers.In the calculation of the transi1.ion matrix elements, we have ?nade use of the sumrules of the atomic wave functions in the momentum space derived from theCoulomb Green function. The momentum transfer effect of the electron isimportant and cannot be neglected throughout the energy range where theBorn approximation is valid. We have also obtained an approximate expressionfor the cross section o(n+n') averaged over the initial azimuthal and magneticquazttum numbers and summed over the final ones. The averaged cross sectionsatisfies a scaling law in the resonance case n=n', that is, a.(E) =n'o..(n'E).Applications will be given in the subsequent pape?".

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